The differentiation acting on the integrand will generate integrals with different powers of denominators, which can be used as non-trivial relations among them, called integration-by-parts identities (IBPs).
These relations can be solved to write the initial scalar integrals in terms of more simple ones, that are the so-called Master Integrals.
The procedure has been implemented by Laporta [1]} developing a method for high precision calculations of multi-loop, and it has been used in several works.
